TWO NEW MODIFIED EXTRAGRADIENT-TYPE METHODS FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS

被引:0
作者
Wang, Wanyu [1 ,2 ]
Xia, Fuquan [1 ]
Liu, Yuncheng [1 ]
机构
[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
[2] Chengdu Normal Univ, Dept Math, Chengdu 611130, Sichuan, Peoples R China
关键词
extragradient-type method; continuous; fixed point; variational inequality; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose two new modified extragradient-type methods for finding a common element of fixed points set of a nonexpansive mapping and the solutions set of a variational inequality problem in Hilbert space. In our methods, on every iteration, we use only two projections onto some simple closed convex set C. Under the assumptions that the mapping in variational inequality problem is continuous(not necessary Lipschitz continuous) and monotone, we prove strong convergence theorems of the proposed algorithms. Preliminary computational experience is also reported.
引用
收藏
页码:2347 / 2370
页数:24
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